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2285485920 = 253254733769
BaseRepresentation
bin1000100000111001…
…1011111101100000
312220021112201021200
42020032123331200
514140041022140
61014441521200
7110431211154
oct21016337540
95807481250
102285485920
11a73108443
125394a3200
132a5662a43
14179771064
15d59a6030
hex8839bf60

2285485920 has 144 divisors (see below), whose sum is σ = 7965397440. Its totient is φ = 596477952.

The previous prime is 2285485901. The next prime is 2285485931. The reversal of 2285485920 is 295845822.

2285485920 is a `hidden beast` number, since 2 + 2 + 8 + 54 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50796 + ... + 84564.

It is an arithmetic number, because the mean of its divisors is an integer number (55315260).

Almost surely, 22285485920 is an apocalyptic number.

2285485920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982698720).

2285485920 is an abundant number, since it is smaller than the sum of its proper divisors (5679911520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2285485920 is a wasteful number, since it uses less digits than its factorization.

2285485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33837 (or 33826 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2285485920 is about 47806.7560079117. The cubic root of 2285485920 is about 1317.2236411566.

The spelling of 2285485920 in words is "two billion, two hundred eighty-five million, four hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1128 1410 1440 1504 1692 1880 2115 2256 2820 3384 3760 4230 4512 5640 6768 7520 8460 11280 13536 16920 22560 33769 33840 67538 67680 101307 135076 168845 202614 270152 303921 337690 405228 506535 540304 607842 675380 810456 1013070 1080608 1215684 1350760 1519605 1587143 1620912 2026140 2431368 2701520 3039210 3174286 3241824 4052280 4761429 4862736 5403040 6078420 6348572 7935715 8104560 9522858 9725472 12156840 12697144 14284287 15871430 16209120 19045716 23807145 24313680 25394288 28568574 31742860 38091432 47614290 48627360 50788576 57137148 63485720 71421435 76182864 95228580 114274296 126971440 142842870 152365728 190457160 228548592 253942880 285685740 380914320 457097184 571371480 761828640 1142742960 2285485920